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Pattern formation in rotating fluids

  • Flows in nature and technology are often associated with specific structures and pattern. This paper deals with the development and behaviour of such flow pattern. Flow structures are important for the mass, momentum and energy transport. The behaviour of different flow pattern is used by engineers to obtain an efficient mass and energy consumption. Mechanical power is transmitted via the momentumFlows in nature and technology are often associated with specific structures and pattern. This paper deals with the development and behaviour of such flow pattern. Flow structures are important for the mass, momentum and energy transport. The behaviour of different flow pattern is used by engineers to obtain an efficient mass and energy consumption. Mechanical power is transmitted via the momentum of rotating machine parts. Therefore the physical and mathematical knowledge of these basic concepts is important. Theoretical and experimental investigations of principle experiments are described in the following. We start with the classical problem of the flow between two concentric cylinders where the inner cylinder rotates. Periodic instabilities occur which are called Taylor vortices. The analogy between the cylindrical gap flow, the heat transfer in a horizontal fluid layer exposed to the gravity field and the boundary layer flow along concave boundaries concerning their stability behaviour is addressed. The vortex breakdown phenomenon in a cylinder with rotating cover is also described. A generalization to spherical sectors leads then to investigations with different boundary conditions. The spherical gap flow exhibits interesting phenomena concerning the nonlinear character of the Navier-Stokes equations. Multiple solutions in the nonlinear regime give rise to different routes during the laminar-turbulent transition. The interaction of two rotating spheres results in flow structures with separation and stagnation lines. Experimental results are confirmed by numerical simulations.show moreshow less

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Metadaten
Author:Karl BühlerGND
Publisher:Science Press
Date of Publication (online):2009/05/24
Language:English
GND Keyword:Flüssigkeit; Information; Rotation; Strömungsmechanik
Parent Title (English):Journal of Thermal Science
Volume:18
Issue:2
ISSN:1003-2169
First Page:109
Last Page:118
Document Type:Article (reviewed)
Institutes:Bibliografie
Open Access:Zugriffsbeschränkt
Release Date:2019/10/22
Licence (German):License LogoEs gilt das UrhG
DOI:https://doi.org/10.1007/s11630-009-0109-2